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Finding the Fourth Proportional to 663.26, 996.33 and 403.40

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Solution

The fourth proportional to 663.26, 996.33 and 403.40 is: 605.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.26 : 996.33 = 403.40 : x
  2. Step 2: Convert to fraction form
    663.26/996.33 = 403.40/x
  3. Step 3: Cross multiply
    663.26x = 996.33 × 403.40
  4. Step 4: Simplify right side
    663.26x = 401,917.92
  5. Step 5: Solve for x
    x = 401,917.92/663.26
  6. Step 6: Final answer
    x = 605.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.